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Simplifying 2(x + -3) + -3 = 5 + -3(2x + 2) Reorder the terms: 2(-3 + x) + -3 = 5 + -3(2x + 2) (-3 * 2 + x * 2) + -3 = 5 + -3(2x + 2) (-6 + 2x) + -3 = 5 + -3(2x + 2) Reorder the terms: -6 + -3 + 2x = 5 + -3(2x + 2) Combine like terms: -6 + -3 = -9 -9 + 2x = 5 + -3(2x + 2) Reorder the terms: -9 + 2x = 5 + -3(2 + 2x) -9 + 2x = 5 + (2 * -3 + 2x * -3) -9 + 2x = 5 + (-6 + -6x) Combine like terms: 5 + -6 = -1 -9 + 2x = -1 + -6x Solving -9 + 2x = -1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9 + 2x + 6x = -1 + -6x + 6x Combine like terms: 2x + 6x = 8x -9 + 8x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 8x = -1 + 0 -9 + 8x = -1 Add '9' to each side of the equation. -9 + 9 + 8x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -1 + 9 8x = -1 + 9 Combine like terms: -1 + 9 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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